A differentiable manifold is said to be contact if it admits a linear functional f on the tangent bundle satisfying f ∧(df)^(M-1)≠0.This remark obtain the following the classification:Let M be a complete connected c...A differentiable manifold is said to be contact if it admits a linear functional f on the tangent bundle satisfying f ∧(df)^(M-1)≠0.This remark obtain the following the classification:Let M be a complete connected contact hyper-surface of CH^2(-4),then M is congruent to one of the following: (i)A tube of radius r>0 around a totally geodesic,totally real hyperbolic space form H^2(-1); (ii)A tube of radius r>0 around a totally geodesic complex hyperbolic space form CH^1(-4); (iii)A geodesic hypersphere of radius r>0,or (iv)A horosphere.展开更多
文摘A differentiable manifold is said to be contact if it admits a linear functional f on the tangent bundle satisfying f ∧(df)^(M-1)≠0.This remark obtain the following the classification:Let M be a complete connected contact hyper-surface of CH^2(-4),then M is congruent to one of the following: (i)A tube of radius r>0 around a totally geodesic,totally real hyperbolic space form H^2(-1); (ii)A tube of radius r>0 around a totally geodesic complex hyperbolic space form CH^1(-4); (iii)A geodesic hypersphere of radius r>0,or (iv)A horosphere.
